A highly non-ideal gas has an entropy given by S=aNU/V, where the internal  energy, U is a function of T. Find the pressure, the expression for the heat capacity at constant volume, and the chemical potential.

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter4: The Second Law Of Thermodynamics
Section: Chapter Questions
Problem 53P: A copper rod of cross-sectional area 5.0 cm2 and length 5.0 m conducts heat from a heat reservoir at...
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A highly non-ideal gas has an entropy given by S=aNU/V, where the internal 
energy, U is a function of T.
Find the pressure, the expression for the heat capacity at constant volume, and the chemical potential. 

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